32

32 (thirty-two) is the natural number following 31 and preceding 33.

In mathematics

32 is the smallest number n with exactly 7 solutions to the equation φ(x) = n. It is also the sum of the totient function for the first ten integers.

The fifth power of two, 32 is also a Leyland number since 2⁴ + 4² = 32.

As with every power of two, 32 has an aliquot sum one less than itself: the prime 31. 32 is the first member of the 31-aliquot tree.

32 is the ninth Happy number

32=1¹+2²+3³

In science

• The atomic number of germanium
• The freezing point of water at sea level in degrees Fahrenheit

Astronomy

• Messier 32, a magnitude 9.0 galaxy in the constellation Andromeda which is a companion to M31.

• The New General Catalogue object NGC 32, a star in the constellation Pegasus

• The Saros number of the solar eclipse series which began on September 24, 1957 BC and ended on March 10, 460 BC. The duration of Saros series 32 was 1496.5 years, and it contained 84 solar eclipses.

• The Saros number of the lunar eclipse series which began on June 11, 1691 BC and ended on August 9, 375 BC. The duration of Saros series 32 was 1316.2 years, and it contained 74 lunar eclipses.

In music

• The number of completed, numbered piano sonatas by Ludwig van Beethoven
• In the title and lyrics of the song 32 Footsteps by They Might Be Giants
• In Regina Spektor's Oedipus, it's sung "32 is still a god damn number" several times.
• In the title of the song "The Chamber of 32 Doors" by Genesis, from their 1974 concept album The Lamb Lies Down On Broadway.
• The title of 32, a song on Mr. Mister's debut album I Wear the Face.

In religion

In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom.

In sports

The winning car number of Ray Harroun in the inaugural Indianapolis 500 in 1911.

In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.

The jersey number 32 has been retired for the following players: the Los Angeles Lakers' Magic Johnson, the Utah Jazz's Karl Malone, the Portland Trail Blazers' Bill Walton, the Philadelphia 76er' Billy Cunningham, the Boston Celtics' Kevin McHale, baseball pitchers Sandy Koufax and Steve Carlton, Cleveland Browns' running back Jim Brown, the New York Yankees' Elston Howard and Manchester City football player Carlos Tevez. Since joining AC Milan on loan in January 2008 David Beckham also adopted the number 32 shirt.

Also the jersey number for Shaquille O'Neal during his playing time with the Miami Heat,Phoenix Suns and Orlando Magic.

And the jersey number for Richard Hamilton, who plays for the Detroit Pistons.

Also the jersey number for O.J. Mayo, who plays for the Memphis Grizzlies.

Josh Hamilton of the MLB team the Texas Rangers also wears number 32.

Roy Hallady of the Toronto Blue Jays Wears 32.

The number of teams in the National Football League.

The number of national teams that have participated in each FIFA World Cup finals tournament since 1998.

An association (soccer) football is made up with 32 panels of leather.

In other fields

Thirty-two could also refer to:

• The number of teeth of a full set of teeth in an adult human, including wisdom teeth
• The size of a databus in bits: 32-bit
• The size, in bits, of certain integer data types, used in computer representations of numbers
• IPv4 uses 32-bit (4-byte) addresses
• ASCII and Unicode code point for space
• The code for international direct dial phone calls to Belgium
• In the title Thirty-Two Short Films About Glenn Gould, starring Colm Feore
• Article 32 of the UCMJ concerns pre-trial investigations. Such a hearing is often called an "article 32 hearing"
• Sometimes considered to be the occult opposite of number 23
• The caliber .32 ACP
• The number of pages in the average comic book (not including the cover)
• The number of the French department Gers

Historical years

32 AD, 32 B.C., 1932, 2032, etc.

References

• Prime Curios! 32 from the Prime Pages